Finite Group Databasebeta

← Group #328331

Character table — Group #328331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444422444444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-11-1-11-11-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-11-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-11-1-1-1-11-11-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-11-1-1-1-11-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-11-11-1-11-111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-11-11-1-11-11-1-1-1-111111111-1-1
χ9111111111-1-1-1-11-1-11111-111-1-111-1-1-111-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-11-1-11111-111-1-111-1-1-111-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-11-1-11111-11-1-11-111-11-1-1111-1-111-1-1-1-111-11
χ12111111111-1-1-1-11-1-11111-11-1-11-111-11-1-11-1-111-1-11111-1-11-1
χ13111111111-1-1-1-11-1-11111-1-111-1-1-111-1-11111-1-1-1-11111-1-1-11
χ14111111111-1-1-1-11-1-11111-1-111-1-1-111-1-111-1-11111-1-1-1-1111-1
χ15111111111-1-1-1-11-1-11111-1-1-1111-1-1111-1-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-11-1-11111-1-1-1111-1-1111-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-22-2-2-2000020200-20-200000000000000
χ182222222222222-2-2-2-22-2-2-20000-20-20020200000000000000
χ19222222222-2-2-2-2-222-22-2-22000020-200-20200000000000000
χ20222222222-2-2-2-2-222-22-2-220000-2020020-200000000000000
χ2122222222-222-2-2222-2-22-2-220200-20-2000000000000000000
χ2222222222-222-2-2222-2-22-2-2-20-200202000000000000000000
χ2322222222-222-2-2-2-2-22-2-22202020000-20-2000000000000000
χ2422222222-222-2-2-2-2-22-2-2220-20-20000202000000000000000
χ2522222222-2-2-2222-2-2-2-22-2220-200-202000000000000000000
χ2622222222-2-2-2222-2-2-2-22-22-2020020-2000000000000000000
χ2722222222-2-2-222-2222-2-22-2020-2000020-2000000000000000
χ2822222222-2-2-222-2222-2-22-20-2020000-202000000000000000
χ29444-4-4-44-404i−4i00000000000000000000002-22i−2i0000000000
χ30444-4-4-44-404i−4i0000000000000000000000-22−2i2i0000000000
χ31444-4-4-44-40−4i4i00000000000000000000002-2−2i2i0000000000
χ32444-4-4-44-40−4i4i0000000000000000000000-222i−2i0000000000
χ3344-4-4-44-44400004004-4-4-4000000000000000000000000000
χ3444-4-4-44-4440000-400-4-444000000000000000000000000000
χ3544-4-4-44-44-40000400-44-44000000000000000000000000000
χ3644-4-4-44-44-40000-400444-4000000000000000000000000000
χ374-444-44-4-40000004i−4i00000000000000000000000002-22i−2i00
χ384-444-44-4-40000004i−4i0000000000000000000000000-22−2i2i00
χ394-444-44-4-4000000−4i4i00000000000000000000000002-2−2i2i00
χ404-444-44-4-4000000−4i4i0000000000000000000000000-222i−2i00
χ414-4-44-4-4440004-40000000000000000000000002-22-2000000
χ424-4-44-4-4440004-4000000000000000000000000-22-22000000
χ434-4-44-4-444000-440000000000000000000000002-2-22000000
χ444-4-44-4-444000-44000000000000000000000000-222-2000000
χ4588-888-8-8-8000000000000000000000000000000000000000
χ468-88-88-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).